On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces
<p/> <p>We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the strong convergence of approximate solutions to an exact solution of th...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2007-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2007/017294 |
| id |
doaj-c389e254505843aaa610183da95eae7b |
|---|---|
| record_format |
Article |
| spelling |
doaj-c389e254505843aaa610183da95eae7b2020-11-25T00:36:12ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2007-01-0120071017294On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach SpacesLan Heng-YouTeo Kok LayHuang Nan-Jing<p/> <p>We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the strong convergence of approximate solutions to an exact solution of the equilibrium problem is shown. Furthermore, we give some iterative schemes for solving some generalized mixed variational-like inequalities to illuminate our results.</p>http://www.journalofinequalitiesandapplications.com/content/2007/017294 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Lan Heng-You Teo Kok Lay Huang Nan-Jing |
| spellingShingle |
Lan Heng-You Teo Kok Lay Huang Nan-Jing On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces Journal of Inequalities and Applications |
| author_facet |
Lan Heng-You Teo Kok Lay Huang Nan-Jing |
| author_sort |
Lan Heng-You |
| title |
On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces |
| title_short |
On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces |
| title_full |
On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces |
| title_fullStr |
On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces |
| title_full_unstemmed |
On the Existence and Convergence of Approximate Solutions for Equilibrium Problems in Banach Spaces |
| title_sort |
on the existence and convergence of approximate solutions for equilibrium problems in banach spaces |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2007-01-01 |
| description |
<p/> <p>We introduce and study a new class of auxiliary problems for solving the equilibrium problem in Banach spaces. Not only the existence of approximate solutions of the equilibrium problem is proven, but also the strong convergence of approximate solutions to an exact solution of the equilibrium problem is shown. Furthermore, we give some iterative schemes for solving some generalized mixed variational-like inequalities to illuminate our results.</p> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2007/017294 |
| work_keys_str_mv |
AT lanhengyou ontheexistenceandconvergenceofapproximatesolutionsforequilibriumproblemsinbanachspaces AT teokoklay ontheexistenceandconvergenceofapproximatesolutionsforequilibriumproblemsinbanachspaces AT huangnanjing ontheexistenceandconvergenceofapproximatesolutionsforequilibriumproblemsinbanachspaces |
| _version_ |
1725306320771350528 |